HASEGAWA Koji 長谷川浩司

… Alternative Names

長谷川浩司ハセカ゛ワコウジ

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Researcher Number	30208483
Other IDs
Affiliation (Current)	2022: 東北大学, 理学研究科, 准教授
Affiliation (based on the past Project Information) *help	2016: 東北大学, 理学研究科, 准教授 2013 – 2015: 東北大学, 理学(系)研究科(研究院), 准教授 2011 – 2012: 東北大学, 理学(系)研究科(研究院), 講師 2007 – 2009: Tohoku University, 大学院・理学研究科, 講師 2006: Tohoku University, Graduate School of Science, Lecturer, 大学院理学研究科, 講師 … More 2004 – 2005: 東北大学, 大学院・理学研究科, 講師 1996 – 2001: 東北大学, 大学院・理学研究科, 講師 1998: Tohoku University, Graduate School of Science, Lecturer, 理学研究科, 講師 1992 – 1994: 東北大学, 理学部, 助手 1989 – 1990: 東北大学, 理学部, 助手 Less
Review Section/Research Field	Principal Investigator Algebra / Global analysis / Algebra Except Principal Investigator Algebra / 代数学・幾何学 / Global analysis / 解析学 / Geometry / Global analysis
Keywords	Principal Investigator 量子群 / 可積分系 / ヤン・バクスター方程式 / パンルヴェ方程式 / 可解格子模型 / 共形場理論 / マクドナルド多項式 / ラメ関数 / ソリトン / モノドロミー保存変形 … More / 離散化 / 表現論 / Yang-Bexter方程式 / ソリトン系 / 対称性 / 量子化 / 差分化 / パンルベ方程式 / 非線形 / ランダム行列 / パンルヴェ型方程式 / モノドロミー保存系 / 数理物理 / タイヒミュラー空間 / Yang-Baxter方程式 / 量子共形場理論 / アフィンLie環 / 可積系 / アフィン・リー環 / 楕円R行列 / ルイセナ-ス系 / 差分可積分系 / WZW模型 / integrable system / Yang-Baxter equation / quantum conformal field theory / quantum group / affine Lie algebra / カロジェロ系 / 離散パンルベ系 / Yang-Baxter eq. / Calogero systems / Panlev'e type eq. / Integrable systems / アフィンワイル群 / Schur関数 / ワイル群 / アフィンリー環 / Integrable Systems / Affine Weyl groups / Painleve equation / Monodromy / Quantum groups … More Except Principal Investigator 代数群 / 量子群 / 可解格子模型 / 指標 / トーリック多様体 / 超幾何型微分方程式 / Yang-Baxter方程式 / 固有値 / 楕円曲線 / 可積分系 / 指標D加群 / 青木・Galfand方程式 / ト-リック多様体 / カスプ特異点 / 対称領域 / 局所化定理 / 指標公式 / ホロノミ-系 / 捩れ同変 / フ-リエ変換 / 超幾何型微分方程式系 / 青本・Gelfand方程式系 / 確定特異点型 / ホロノミー系 / 交叉ホモロジー / カノニカル基底 / 共形場 / 古典力学 / 函数微分方程式 / 半線型楕円型偏微分方程式 / 変分法 / ケーラー多様体 / ループ空間 / 同変ホロノミー系 / 確定特異点 / 代数群の表現 / トーラス作用 / 同変K理論 / 箙多様体 / 楕円量子可積分系 / (Z / nZ)対称模型 / ボソン化構成法 / 相関函数 / アフィン量子群 / 運動の積分 / 差分パンルヴェVI型方程式 / 量子離散ガルニエ系 / 8頂点模型 / Zn対称模型 / シグマ函数 / qKZ方程式 / Koornwinder多頂式 / 離散パンルベVI型方程式 / 頂点作用素 / 自由場表示 / 差分KZ方程式 / 結晶基底 / 格子模型 / GKO構造 / 楕円的量子群 / 可解模型 / ヘッケ環 / Demazure結晶 / Knizhnik-Zamolodchikov方程式 / Kostka多項式 / エネルギー関数 / XXZ模型 / screening作用素 / トロイダル代数 / solvable lattice models / quantum froups / vertex operators / bosonization / difference analogue of the KZ equation / crystal / エルゴード性 / スペクトラム / 量子エルゴード性 / ラプラシアン / ERGODICITY / SPECTRUM / EIGENVALUES / QUANTUM ERGODICITY / 離散的ラプラシアン / 結晶格子 / 中心極限定理 / ハーパー作用素 / アルバネーゼ写像 / 標準的実現 / グラフの調和写像 / 格子振動 / 離散幾何学 / グラフ / スペクトル幾何 / Discrete Laplacian / Crystal Lattice / Harper Operator / Central Limit Theorem / 対称対 / 線型代数群 / ラングランズ対応 / 相対跡公式 / アフィン類似 / 標数2の体 / 対称多様体 / 標数2の体上の代数群 / 佐武図式 / 制限ルート系 / シュバレー群 / L-関数 / 超幾何関数 / 超局所化 / 構成可能層 / 対合 / 簡約代数群 / L関数の零点 / Symmetric Pairs / Linear Algelvaic Groups / Involutions / Relative Trace Formake / Affineanalogues / 類数 / 密度定理 / Q-曲線 / F-特異点 / 密着閉方 / 既均質ベクトル空間 / 不定方程式 / 概均質ベクトル空間 / キーワード6 / キーワード7 / キーワード8 / class number / density theorems / toric varieties / Q-curves / F-singularities / tight closure / elliptic curves / Mordell-Weil group / モノドロミー保存変形 / パンルヴェ系 / 離散化 / 量子化 / 共形場理論 / パンルヴェ方程式 / 超離散化 / 表現論 / integrable systems / isomonodromic systems / Painleve systems / discretization / quantization / conformal field theory / quantum group Less

Pursuit of analogies between quantum difference isomonodromic systems, quantum Teichmuller theory, and solvable lattice modelsPrincipal Investigator
- Principal Investigator
  
  Hasegawa Koji
- Project Period (FY)
  2014 – 2016
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Tohoku University
Quantum discrete isomonodromy system from the viewpoint of quantum Teichmueller spacePrincipal Investigator
- Principal Investigator
  
  HASEGAWA Koji
- Project Period (FY)
  2011 – 2013
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Tohoku University
Quantization of difference nonlinear equation of Painleve typePrincipal Investigator
- Principal Investigator
  
  HASEGAWA Koji
- Project Period (FY)
  2007 – 2009
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Global analysis
- Research Institution
  Tohoku University
Correlation functions and form factors of elliptic integrable systems
- Principal Investigator
  
  QUANO Yas-hiro
- Project Period (FY)
  2007 – 2008
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Global analysis
- Research Institution
  Suzuka University of Medical Science
Discretization and quantization of integrable and isomonodromic systems
- Principal Investigator
  
  KUROKI Gen
- Project Period (FY)
  2005 – 2006
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Global analysis
- Research Institution
  Tohoku University
Study of Classical and Quantum Integrable Systems and their discretizationsPrincipal Investigator
- Principal Investigator
  
  HASEGAWA Koji
- Project Period (FY)
  2004 – 2005
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Global analysis
- Research Institution
  Tohoku University
Number Theory and Geometry related to Algebraic Groups
- Principal Investigator
  
  YUKIE Akihiko
- Project Period (FY)
  2000 – 2002
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Algebra
- Research Institution
  Tohoku University
STUDY OF DISCRETE TIME EVOLUTIONS IN DISCRETE QUANTUM INTEGRABLE SYSTEMSPrincipal Investigator
- Principal Investigator
  
  HASEGAWA Koji
- Project Period (FY)
  2000 – 2001
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Tohoku University
Fundamental Research of Discrete Geometric Analysis and Its Applications
- Principal Investigator
  
  SUNADA Toshikazu
- Project Period (FY)
  1998 – 2000
- Research Category
  
  Grant-in-Aid for Scientific Research (A).
- Research Field
  
  Global analysis
- Research Institution
  Tohoku University
SYMMETRIC PAIRS
- Principal Investigator
  
  UZAWA Tooru
- Project Period (FY)
  1998 – 2000
- Research Category
  
  Grant-in-Aid for Scientific Research (B).
- Research Field
  
  Algebra
- Research Institution
  RIKKYO UNIVERSITY
Diflenence equation versions of integrable systems and geometric structures in the backgroundPrincipal Investigator
- Principal Investigator
  
  KUROKI Gen, 長谷川浩司
- Project Period (FY)
  1997 – 1998
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Tohoku University
格子模型と等価な差分方程式系の研究Principal Investigator
- Principal Investigator
  
  長谷川浩司
- Project Period (FY)
  1996
- Research Category
  
  Grant-in-Aid for Scientific Research on Priority Areas
- Research Institution
  Tohoku University
ヤン・バクスター方程式の楕円函数解に付随する代数的構造Principal Investigator
- Principal Investigator
  
  長谷川浩司
- Project Period (FY)
  1996
- Research Category
  
  Grant-in-Aid for Encouragement of Young Scientists (A)
- Research Field
  
  Algebra
- Research Institution
  Tohoku University
Mathematics of Symmetry
- Principal Investigator
  
  MIWA Tetsuji
- Project Period (FY)
  1996 – 1998
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  Algebra
- Research Institution
  KYOTO UNIVERSITY
STUDY ON QUANTUM ERGODIC THEORY
- Principal Investigator
  
  SUNADA Toshikazu
- Project Period (FY)
  1996 – 1997
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  TOHOKU UNIVERSITY
超幾何型関数と表現論
- Principal Investigator
  
  堀田良之
- Project Period (FY)
  1994
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Tohoku University
共形場理論及び可解格子模型に現れる特殊函数Principal Investigator
- Principal Investigator
  
  長谷川浩司
- Project Period (FY)
  1993
- Research Category
  
  Grant-in-Aid for Scientific Research on Priority Areas
- Research Institution
  Tohoku University
代数的手法による表現論
- Principal Investigator
  
  堀田良之
- Project Period (FY)
  1992
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  Tohoku University
古典力学における数学的諸問題
- Principal Investigator
  
  伊藤秀一
- Project Period (FY)
  1992
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Tohoku University
代数的表現論の開発
- Principal Investigator
  
  堀田良之
- Project Period (FY)
  1990
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  Tohoku University
D加群と表現論
- Principal Investigator
  
  堀田良之
- Project Period (FY)
  1989
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  Tohoku University

All 2015 2013 2012 2011 2009 2007 2004 Other

All Journal Article Presentation Book

[Book] 線型代数-linear algebra 改訂版2015
- Author(s)
  長谷川浩司
- Total Pages
  420
- Publisher
  日本評論社
- Data Source
  KAKENHI-PROJECT-26400033
[Book] 線型代数 - Liner Algebra2004
- Author(s)
  長谷川浩司
- Total Pages
  391
- Publisher
  日本評論社
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16540182
[Book] Linear Algebra2004
- Author(s)
  Koji Hasegawa
- Total Pages
  391
- Publisher
  Nihon Hyoronsha
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16540182
[Book] 線型代数2004
- Author(s)
  長谷川浩司
- Total Pages
  404
- Publisher
  日本評論社
- Data Source
  KAKENHI-PROJECT-16540182
[Journal Article] Quantizing the Painleve VI equation: The Lax formalism2013
- Author(s)
  Koji Hasegawa
- Journal Title
  
  Lett. Math. Phys.
  
  Volume: online first Pages: 1-15
- DOI
  10.1007/s11005-013-0620-y
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23540004
[Journal Article] Quantizing the Painleve VI equation : The Lax formalism2013
- Author(s)
  Koji Hasegawa
- Journal Title
  
  Lett. Math. Phys
  
  Volume: 103 no.8 Pages: 865-879
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23540004
[Journal Article] Quantizing the Bäcklund transforma -tions of Painlevé equations and the quantum discrete Painlevé VI equa -tion2011
- Author(s)
  Koji Hasegawa
- Journal Title
  
  Advanced Studies in Pure Mathematics 61"Exploration of New Structures and Natural Constructions in Mathematical Physics", Japan Math. Soc
  
  Pages: 275-288
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23540004
[Journal Article] Quantizing the Backlund transformations of Painlev’e equations and the quantum discrete Painlev’e VI equation2011
- Author(s)
  Koji Hasegawa
- Journal Title
  
  Advanced Studies in　Pure　Mathematics
  
  Volume: 61 Pages: 275-288
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23540004
[Journal Article] Quantizing the Backlund transformations of Painleve equations and the quantum discrete Painleve VI equation
- Author(s)
  K Hasegawa
- Journal Title
  
  Advanced Studies in Pure Mathematics (to appear)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540207
[Presentation] 量子離散ガルニエ系のラックス形式2013
- Author(s)
  Koji Hasegawa
- Organizer
  日本数学会秋季総合分科会, 無限可積分系セッション一般講演
- Place of Presentation
  愛媛大学
- Year and Date
  2013-09-24
- Data Source
  KAKENHI-PROJECT-23540004
[Presentation] 量子離散パンルヴェVI 型方程式のラックス形式2012
- Author(s)
  Koji Hasegawa
- Organizer
  日本数学会秋季総合分科会, 無限可積分系セッション一般講演
- Place of Presentation
  九州大学
- Year and Date
  2012-09-18
- Data Source
  KAKENHI-PROJECT-23540004
[Presentation] 量子離散パンルヴェVI型方程式のラックス形式2012
- Author(s)
  長谷川浩司
- Organizer
  日本数学会
- Place of Presentation
  九州大学
- Data Source
  KAKENHI-PROJECT-23540004
[Presentation] Quantizing the discrete Painlev’e VI equation2012
- Author(s)
  Koji Hasegawa
- Organizer
  Workshop "Integrable Systems, Random Matrices, Algebraic Geometry and Geometric Invariants(招待講演)
- Place of Presentation
  Steklov Institute, Moscow, Russia
- Data Source
  KAKENHI-PROJECT-23540004
[Presentation] Quantizing the discrete Painlev’e VI equation2011
- Author(s)
  Koji Hasegawa
- Organizer
  Infinite Analysis 11 Winter School: "Quantum cluster algebras and related topics"(招待講演)
- Place of Presentation
  大阪大学大学院理学研究科
- Data Source
  KAKENHI-PROJECT-23540004
[Presentation] Quantizing the discrete Painleve VI equation2009
- Author(s)
  K Hasegawa
- Organizer
  Fusion of Integrable Systems and Geometry
- Place of Presentation
  Tohoku university
- Year and Date
  2009-04-17
- Data Source
  KAKENHI-PROJECT-19540207
[Presentation] Quantization of discrete Painleve equatioes2007
- Author(s)
  長谷川浩司
- Organizer
  Japan-Korea workshop on algebra and combinato-rics
- Place of Presentation
  九州大学数理学研究院
- Year and Date
  2007-09-15
- Data Source
  KAKENHI-PROJECT-19540207
[Presentation] Quantization of discrete Painlev'e equations2007
- Author(s)
  Koji Hasegawa
- Organizer
  The 3rd Japan-Korea Workshop on Algebra and Combinatorics
- Place of Presentation
  Kyushu University Hakozaki Campus
- Year and Date
  2007-09-15
- Data Source
  KAKENHI-PROJECT-19540207
[Presentation] 量子離散ガルニエ系のラックス形式
- Author(s)
  長谷川浩司
- Organizer
  日本数学会無限可積分系セッション
- Place of Presentation
  愛媛大学
- Data Source
  KAKENHI-PROJECT-23540004

1. KUROKI Gen (10234593)

# of Collaborated Projects: 14 results

# of Collaborated Products: 0 results
2. ISHIDA Masanori (30124548)

# of Collaborated Projects: 5 results

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3. 堀田良之 (70028190)

# of Collaborated Projects: 4 results

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4. 小田忠雄 (60022555)

# of Collaborated Projects: 4 results

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5. KIKUCHI Tetsuya (00374900)

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6. SHIRAISHI Un'ichi (20272536)

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7. NAKAYASHIKI Atsushi (10237456)

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8. Yamada Yasuhiko (00202383)

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9. 齋藤睦 (70215565)

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10. 中島啓 (00201666)

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11. UZAWA Tooru (40232813)

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12. NAGOYA Hajime (80447367)

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13. SUNADA Toshikazu (20022741)

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14. SAITO Kazuyuki (60004397)

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15. 佐武一郎 (00133934)

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16. 清水勇二 (80187468)

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17. 伊藤秀一 (90159905)

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18. 堀畑和弘 (10229239)

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19. 板東重稔 (40165064)

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20. 高木泉 (40154744)

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21. 加藤順二 (80004290)

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22. QUANO Yas-hiro (80309038)

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23. MIWA Tetsuji (10027386)

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24. KONNO Hitoshi (00291477)

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25. OKADO Masato (70221843)

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26. KUNIBA Atsuo (70211886)

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27. 梁成吉 (70201118)

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28. NAYATANI Shin (70222180)

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29. KOTANI Motoko (50230024)

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30. URAKAWA Hajime (50022679)

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31. 藤原耕二 (60229078)

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33. 新井仁之 (10175953)

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34. YAMADA Yuuji (40287917)

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35. AOKI Noboru (30183130)

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36. FUJII Akio (50097226)

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37. YUKIE Akihiko (20312548)

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38. OGATA Shoetsu (90177113)

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39. NAKAMURA Tetsuo (90016147)

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40. SATO atsushi (30241516)

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41. HARA Nobuo (90298167)

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42. 森田康夫 (20011653)

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43. IKEDA Takeshi (40309539)

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HASEGAWA Koji 長谷川 浩司

長谷川 浩司 ハセカ゛ワ コウジ

Research Projects

Research Products

Co-Researchers

Pursuit of analogies between quantum difference isomonodromic systems, quantum Teichmuller theory, and solvable lattice modelsPrincipal Investigator

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Quantum discrete isomonodromy system from the viewpoint of quantum Teichmueller spacePrincipal Investigator

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Quantization of difference nonlinear equation of Painleve typePrincipal Investigator

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Principal Investigator

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Study of Classical and Quantum Integrable Systems and their discretizationsPrincipal Investigator

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STUDY OF DISCRETE TIME EVOLUTIONS IN DISCRETE QUANTUM INTEGRABLE SYSTEMSPrincipal Investigator

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Diflenence equation versions of integrable systems and geometric structures in the backgroundPrincipal Investigator

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格子模型と等価な差分方程式系の研究Principal Investigator

Principal Investigator

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ヤン・バクスター方程式の楕円函数解に付随する代数的構造Principal Investigator

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HASEGAWA Koji 長谷川浩司

長谷川浩司ハセカ゛ワコウジ